Detail of Academic Staff

KABATA, Yutaro/ Assistant Professor

KABATA, Yutaro KABATA, Yutaro(Assistant Professor) researcher_infomation research and technical catalog My research area is singularity theory of mapping and its application. Since the implicit function theorem does not hold around a singularity, the behavior of a mapping around it is very complicated and attractive. Especially, I am investigating geometric characterizations of classifications of singularities of mappings and the applications to several geometrical settings (mainly local theory of surface). Singularity of mapping is a naive object which appears in various settings. I am also interested in singularities  arising in other fields such as vision theory, robotics, multi-objective optimization.

Keyword Singularity, Surface
Division Fundamental Mathematics